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242605044624 = 24314950966643
BaseRepresentation
bin1110000111110001100…
…0110011001110010000
3212012012120012012102010
43201330120303032100
512433323342411444
6303241244022520
723345656566045
oct3417430631620
9765176165363
10242605044624
119398524a888
123b027b31a40
1319b53cbc857
14ba566451cc
15649d9d62b9
hex387c633390

242605044624 has 80 divisors (see below), whose sum is σ = 632184984000. Its totient is φ = 80166594048.

The previous prime is 242605044613. The next prime is 242605044653. The reversal of 242605044624 is 426440506242.

242605044624 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3607047 + ... + 3673689.

It is an arithmetic number, because the mean of its divisors is an integer number (7902312300).

Almost surely, 2242605044624 is an apocalyptic number.

242605044624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242605044624 is an abundant number, since it is smaller than the sum of its proper divisors (389579939376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242605044624 is a wasteful number, since it uses less digits than its factorization.

242605044624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67312 (or 67306 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 39.

The spelling of 242605044624 in words is "two hundred forty-two billion, six hundred five million, forty-four thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 149 298 447 509 596 894 1018 1192 1527 1788 2036 2384 3054 3576 4072 6108 7152 8144 12216 24432 66643 75841 133286 151682 199929 227523 266572 303364 399858 455046 533144 606728 799716 910092 1066288 1213456 1599432 1820184 3198864 3640368 9929807 19859614 29789421 33921287 39719228 59578842 67842574 79438456 101763861 119157684 135685148 158876912 203527722 238315368 271370296 407055444 476630736 542740592 814110888 1628221776 5054271763 10108543526 15162815289 20217087052 30325630578 40434174104 60651261156 80868348208 121302522312 242605044624